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Finding the Fourth Proportional to 189.37, 282.61 and 184.51

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Solution

The fourth proportional to 189.37, 282.61 and 184.51 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 282.61 = 184.51 : x
  2. Step 2: Convert to fraction form
    189.37/282.61 = 184.51/x
  3. Step 3: Cross multiply
    189.37x = 282.61 × 184.51
  4. Step 4: Simplify right side
    189.37x = 52,144.37
  5. Step 5: Solve for x
    x = 52,144.37/189.37
  6. Step 6: Final answer
    x = 275.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.